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Freidlin-Wentzell's large deviations for homeomorphism flows of non-Lipschitz SDEs
Authors:Jiagang Ren  Xicheng Zhang
Institution:a Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China
b School of Mathematics and Computational Science, Zhongshan University, Guangzhou, Guangdong 510275, PR China
Abstract:We prove a Freidlin-Wentzell large deviation principle for multi-dimensional stochastic differential equations with non-Lipschitz coefficients and apply it to the Brownian motion on the diffeomorphism group of the disc constructed recently by Airault, Malliavin and Thalmaier.
Keywords:60H10  60F10
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